Question

решите систему неравенств 1028 даю 10 баллов​

Answer 1

( 1 )

$\left \{ {{2x+12>0} \atop {3x-9\leq0 }} \right. \\\\\left \{ {{2x>-12} \atop {3x\leq 9}} \right. \\\\\left \{ {{x>-12:2} \atop {x\leq 9:3}} \right.\\\\\left \{ {{x>-6} \atop {x\leq 3}} \right.$

x ∈ ( -6 ; 3 ]

( 2 )

$\left \{ {{5x-25<0} \atop {4x+16>0 }} \right.\\\\\left \{ {{5x<25} \atop {4x>-16}} \right.\\\\\left \{ {{x<25:5} \atop {x>-16:4}} \right. \\\\\left \{ {{x<5} \atop {x>-4}} \right.$

x ∈ ( -4 ; 5 )

( 3 )

$\left \{ {{1,1x+1,1\leq 0} \atop {8x-16<0}} \right. \\\\\left \{ {{1,1x\leq -1,1} \atop {8x<16}} \right.\\\\\left \{ {{x\leq -1,1:1,1} \atop {x<16:8}} \right. \\\\ \left \{ {{x\leq -1} \atop {x<2}} \right.$

x ∈ ( -∞ ; -1 ]